<h2>
Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:

First pair of opposite sides:
<u>Slope:</u>

Second pair of opposite sides:
<u>Slope:</u>

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

So the diagonals measure the same, therefore this is a rectangle.
1. irrational: √48 = 6.92820323028
2. rational: √9 = 3
3. irrational: √39 = 6.2449979984
4. rational: √289 = 14
Answer:
Maria is 10, Floyd is 8, and Karen is 5.
Step-by-step explanation:
Having said that Maria's age was the smallest two-digit number, that's ten. (10). If Floyd is 2 years younger then 10-2=8. Karen is 3 years younger, so she would be 8-3=5.
45/3=15 45-15=30 30/5=6 3x6=18 30-18=12 the answer is 12
In math it means to make a problem easier to work with